We divide 157661 by 71
We want to figure out the number of times 157661 can be divided by 71.

Let's proceed to step 1:
The number 71 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 71

On to step 2:
When dividing 15 by 71, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 71

On to step 3:
71 can be fit into 157 2 times, resulting in a remainder of 15.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 142 from 157 leaves us with 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 71

On to step 4:
71 can be fit into 156 2 times, resulting in a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 142 from 156 to get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 71

Let's proceed to step 5:
If we divide 146 by 71, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 222.0
The remainder is 4 after subtracting 142 from 146.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 71

On to step 6:
When dividing 41 by 71, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 2220.0
If we subtract 0 from 41, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
71 can be fit into 410 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 2220.5
If we subtract 355 from 410, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
550 divided by 71 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 2220.57
If we subtract 497 from 550, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
When dividing 530 by 71, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 2220.577
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 2220.577 with a remainder of 0.0033.